Finding the Third Proportional to 85,869 and 114,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,869 : 114,655.50 = 114,655.50 : x
2. Step 2: Convert to fraction form
   85,869/114,655.50 = 114,655.50/x
3. Step 3: Cross multiply
   85,869x = 114,655.50 × 114,655.50
4. Step 4: Simplify right side
   85,869x = 13,145,883,680.25
5. Step 5: Solve for x
   x = 13,145,883,680.25/85,869
6. Step 6: Final answer
   x = 153,092.31