Finding the Third Proportional to 53,688 and 116,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,688 : 116,602.50 = 116,602.50 : x
2. Step 2: Convert to fraction form
   53,688/116,602.50 = 116,602.50/x
3. Step 3: Cross multiply
   53,688x = 116,602.50 × 116,602.50
4. Step 4: Simplify right side
   53,688x = 13,596,143,006.25
5. Step 5: Solve for x
   x = 13,596,143,006.25/53,688
6. Step 6: Final answer
   x = 253,243.61