Finding the Third Proportional to 83,611.50 and 130,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,611.50 : 130,966.50 = 130,966.50 : x
2. Step 2: Convert to fraction form
   83,611.50/130,966.50 = 130,966.50/x
3. Step 3: Cross multiply
   83,611.50x = 130,966.50 × 130,966.50
4. Step 4: Simplify right side
   83,611.50x = 17,152,224,122.25
5. Step 5: Solve for x
   x = 17,152,224,122.25/83,611.50
6. Step 6: Final answer
   x = 205,141.93