Finding the Third Proportional to 85,850 and 114,627

Step by Step Solution

1. Step 1: Write the proportion equation
   85,850 : 114,627 = 114,627 : x
2. Step 2: Convert to fraction form
   85,850/114,627 = 114,627/x
3. Step 3: Cross multiply
   85,850x = 114,627 × 114,627
4. Step 4: Simplify right side
   85,850x = 13,139,349,129
5. Step 5: Solve for x
   x = 13,139,349,129/85,850
6. Step 6: Final answer
   x = 153,050.08