Finding the Third Proportional to 52,116.75 and 101,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,116.75 : 101,641.50 = 101,641.50 : x
2. Step 2: Convert to fraction form
   52,116.75/101,641.50 = 101,641.50/x
3. Step 3: Cross multiply
   52,116.75x = 101,641.50 × 101,641.50
4. Step 4: Simplify right side
   52,116.75x = 10,330,994,522.25
5. Step 5: Solve for x
   x = 10,330,994,522.25/52,116.75
6. Step 6: Final answer
   x = 198,227.91