Finding the Third Proportional to 65,829 and 102,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,829 : 102,116.50 = 102,116.50 : x
2. Step 2: Convert to fraction form
   65,829/102,116.50 = 102,116.50/x
3. Step 3: Cross multiply
   65,829x = 102,116.50 × 102,116.50
4. Step 4: Simplify right side
   65,829x = 10,427,779,572.25
5. Step 5: Solve for x
   x = 10,427,779,572.25/65,829
6. Step 6: Final answer
   x = 158,407.08