Finding the Third Proportional to 89,946 and 129,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,946 : 129,946.50 = 129,946.50 : x
2. Step 2: Convert to fraction form
   89,946/129,946.50 = 129,946.50/x
3. Step 3: Cross multiply
   89,946x = 129,946.50 × 129,946.50
4. Step 4: Simplify right side
   89,946x = 16,886,092,862.25
5. Step 5: Solve for x
   x = 16,886,092,862.25/89,946
6. Step 6: Final answer
   x = 187,735.90