Finding the Third Proportional to 135,966 and 291,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,966 : 291,613.50 = 291,613.50 : x
2. Step 2: Convert to fraction form
   135,966/291,613.50 = 291,613.50/x
3. Step 3: Cross multiply
   135,966x = 291,613.50 × 291,613.50
4. Step 4: Simplify right side
   135,966x = 85,038,433,382.25
5. Step 5: Solve for x
   x = 85,038,433,382.25/135,966
6. Step 6: Final answer
   x = 625,438.96