Finding the Third Proportional to 65,983 and 102,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,983 : 102,124.50 = 102,124.50 : x
2. Step 2: Convert to fraction form
   65,983/102,124.50 = 102,124.50/x
3. Step 3: Cross multiply
   65,983x = 102,124.50 × 102,124.50
4. Step 4: Simplify right side
   65,983x = 10,429,413,500.25
5. Step 5: Solve for x
   x = 10,429,413,500.25/65,983
6. Step 6: Final answer
   x = 158,062.13