Finding the Third Proportional to 85,988 and 116,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,988 : 116,769.50 = 116,769.50 : x
2. Step 2: Convert to fraction form
   85,988/116,769.50 = 116,769.50/x
3. Step 3: Cross multiply
   85,988x = 116,769.50 × 116,769.50
4. Step 4: Simplify right side
   85,988x = 13,635,116,130.25
5. Step 5: Solve for x
   x = 13,635,116,130.25/85,988
6. Step 6: Final answer
   x = 158,569.99