Finding the Third Proportional to 53,657 and 116,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,657 : 116,539.50 = 116,539.50 : x
2. Step 2: Convert to fraction form
   53,657/116,539.50 = 116,539.50/x
3. Step 3: Cross multiply
   53,657x = 116,539.50 × 116,539.50
4. Step 4: Simplify right side
   53,657x = 13,581,455,060.25
5. Step 5: Solve for x
   x = 13,581,455,060.25/53,657
6. Step 6: Final answer
   x = 253,116.18