Finding the Third Proportional to 71,506 and 152,507

Step by Step Solution

1. Step 1: Write the proportion equation
   71,506 : 152,507 = 152,507 : x
2. Step 2: Convert to fraction form
   71,506/152,507 = 152,507/x
3. Step 3: Cross multiply
   71,506x = 152,507 × 152,507
4. Step 4: Simplify right side
   71,506x = 23,258,385,049
5. Step 5: Solve for x
   x = 23,258,385,049/71,506
6. Step 6: Final answer
   x = 325,264.80