Finding the Third Proportional to 135,956 and 291,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,956 : 291,588.50 = 291,588.50 : x
2. Step 2: Convert to fraction form
   135,956/291,588.50 = 291,588.50/x
3. Step 3: Cross multiply
   135,956x = 291,588.50 × 291,588.50
4. Step 4: Simplify right side
   135,956x = 85,023,853,332.25
5. Step 5: Solve for x
   x = 85,023,853,332.25/135,956
6. Step 6: Final answer
   x = 625,377.72