Finding the Third Proportional to 98,902 and 146,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,902 : 146,179.50 = 146,179.50 : x
2. Step 2: Convert to fraction form
   98,902/146,179.50 = 146,179.50/x
3. Step 3: Cross multiply
   98,902x = 146,179.50 × 146,179.50
4. Step 4: Simplify right side
   98,902x = 21,368,446,220.25
5. Step 5: Solve for x
   x = 21,368,446,220.25/98,902
6. Step 6: Final answer
   x = 216,056.77