Finding the Third Proportional to 133,182 and 286,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,182 : 286,126.50 = 286,126.50 : x
2. Step 2: Convert to fraction form
   133,182/286,126.50 = 286,126.50/x
3. Step 3: Cross multiply
   133,182x = 286,126.50 × 286,126.50
4. Step 4: Simplify right side
   133,182x = 81,868,374,002.25
5. Step 5: Solve for x
   x = 81,868,374,002.25/133,182
6. Step 6: Final answer
   x = 614,710.50