Finding the Third Proportional to 53,117 and 114,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,117 : 114,414.50 = 114,414.50 : x
2. Step 2: Convert to fraction form
   53,117/114,414.50 = 114,414.50/x
3. Step 3: Cross multiply
   53,117x = 114,414.50 × 114,414.50
4. Step 4: Simplify right side
   53,117x = 13,090,677,810.25
5. Step 5: Solve for x
   x = 13,090,677,810.25/53,117
6. Step 6: Final answer
   x = 246,449.87