Finding the Third Proportional to 85,765.50 and 114,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,765.50 : 114,577.50 = 114,577.50 : x
2. Step 2: Convert to fraction form
   85,765.50/114,577.50 = 114,577.50/x
3. Step 3: Cross multiply
   85,765.50x = 114,577.50 × 114,577.50
4. Step 4: Simplify right side
   85,765.50x = 13,128,003,506.25
5. Step 5: Solve for x
   x = 13,128,003,506.25/85,765.50
6. Step 6: Final answer
   x = 153,068.58