Finding the Third Proportional to 148,381.25 and 314,419

Step by Step Solution

1. Step 1: Write the proportion equation
   148,381.25 : 314,419 = 314,419 : x
2. Step 2: Convert to fraction form
   148,381.25/314,419 = 314,419/x
3. Step 3: Cross multiply
   148,381.25x = 314,419 × 314,419
4. Step 4: Simplify right side
   148,381.25x = 98,859,307,561
5. Step 5: Solve for x
   x = 98,859,307,561/148,381.25
6. Step 6: Final answer
   x = 666,252.02