Finding the Third Proportional to 72,948 and 109,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,948 : 109,498.50 = 109,498.50 : x
2. Step 2: Convert to fraction form
   72,948/109,498.50 = 109,498.50/x
3. Step 3: Cross multiply
   72,948x = 109,498.50 × 109,498.50
4. Step 4: Simplify right side
   72,948x = 11,989,921,502.25
5. Step 5: Solve for x
   x = 11,989,921,502.25/72,948
6. Step 6: Final answer
   x = 164,362.58