Finding the Third Proportional to 83,710.50 and 117,090

Step by Step Solution

1. Step 1: Write the proportion equation
   83,710.50 : 117,090 = 117,090 : x
2. Step 2: Convert to fraction form
   83,710.50/117,090 = 117,090/x
3. Step 3: Cross multiply
   83,710.50x = 117,090 × 117,090
4. Step 4: Simplify right side
   83,710.50x = 13,710,068,100
5. Step 5: Solve for x
   x = 13,710,068,100/83,710.50
6. Step 6: Final answer
   x = 163,779.55