Finding the Third Proportional to 105,577.50 and 155,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,577.50 : 155,422.50 = 155,422.50 : x
2. Step 2: Convert to fraction form
   105,577.50/155,422.50 = 155,422.50/x
3. Step 3: Cross multiply
   105,577.50x = 155,422.50 × 155,422.50
4. Step 4: Simplify right side
   105,577.50x = 24,156,153,506.25
5. Step 5: Solve for x
   x = 24,156,153,506.25/105,577.50
6. Step 6: Final answer
   x = 228,800.20