Finding the Third Proportional to 152,053 and 235,460

Step by Step Solution

1. Step 1: Write the proportion equation
   152,053 : 235,460 = 235,460 : x
2. Step 2: Convert to fraction form
   152,053/235,460 = 235,460/x
3. Step 3: Cross multiply
   152,053x = 235,460 × 235,460
4. Step 4: Simplify right side
   152,053x = 55,441,411,600
5. Step 5: Solve for x
   x = 55,441,411,600/152,053
6. Step 6: Final answer
   x = 364,618.99