Finding the Third Proportional to 84,761 and 114,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,761 : 114,985.50 = 114,985.50 : x
2. Step 2: Convert to fraction form
   84,761/114,985.50 = 114,985.50/x
3. Step 3: Cross multiply
   84,761x = 114,985.50 × 114,985.50
4. Step 4: Simplify right side
   84,761x = 13,221,665,210.25
5. Step 5: Solve for x
   x = 13,221,665,210.25/84,761
6. Step 6: Final answer
   x = 155,987.60