Finding the Third Proportional to 98,307 and 147,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,307 : 147,946.50 = 147,946.50 : x
2. Step 2: Convert to fraction form
   98,307/147,946.50 = 147,946.50/x
3. Step 3: Cross multiply
   98,307x = 147,946.50 × 147,946.50
4. Step 4: Simplify right side
   98,307x = 21,888,166,862.25
5. Step 5: Solve for x
   x = 21,888,166,862.25/98,307
6. Step 6: Final answer
   x = 222,651.15