Finding the Third Proportional to 65,038.50 and 116,543.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,038.50 : 116,543.25 = 116,543.25 : x
2. Step 2: Convert to fraction form
   65,038.50/116,543.25 = 116,543.25/x
3. Step 3: Cross multiply
   65,038.50x = 116,543.25 × 116,543.25
4. Step 4: Simplify right side
   65,038.50x = 13,582,329,120.56
5. Step 5: Solve for x
   x = 13,582,329,120.56/65,038.50
6. Step 6: Final answer
   x = 208,835.21