Finding the Third Proportional to 133,005.38 and 291,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,005.38 : 291,856.50 = 291,856.50 : x
2. Step 2: Convert to fraction form
   133,005.38/291,856.50 = 291,856.50/x
3. Step 3: Cross multiply
   133,005.38x = 291,856.50 × 291,856.50
4. Step 4: Simplify right side
   133,005.38x = 85,180,216,592.25
5. Step 5: Solve for x
   x = 85,180,216,592.25/133,005.38
6. Step 6: Final answer
   x = 640,426.87