Finding the Third Proportional to 195,005,874,904 and 274,611,243,300

Step by Step Solution

1. Step 1: Write the proportion equation
   195,005,874,904 : 274,611,243,300 = 274,611,243,300 : x
2. Step 2: Convert to fraction form
   195,005,874,904/274,611,243,300 = 274,611,243,300/x
3. Step 3: Cross multiply
   195,005,874,904x = 274,611,243,300 × 274,611,243,300
4. Step 4: Simplify right side
   195,005,874,904x = 75,411,334,946,771,796,230,144
5. Step 5: Solve for x
   x = 75,411,334,946,771,796,230,144/195,005,874,904
6. Step 6: Final answer
   x = 386,713,143,816.29