Finding the Third Proportional to 138,793.50 and 292,086

Step by Step Solution

1. Step 1: Write the proportion equation
   138,793.50 : 292,086 = 292,086 : x
2. Step 2: Convert to fraction form
   138,793.50/292,086 = 292,086/x
3. Step 3: Cross multiply
   138,793.50x = 292,086 × 292,086
4. Step 4: Simplify right side
   138,793.50x = 85,314,231,396
5. Step 5: Solve for x
   x = 85,314,231,396/138,793.50
6. Step 6: Final answer
   x = 614,684.63