Finding the Third Proportional to 96,337.50 and 146,778

Step by Step Solution

1. Step 1: Write the proportion equation
   96,337.50 : 146,778 = 146,778 : x
2. Step 2: Convert to fraction form
   96,337.50/146,778 = 146,778/x
3. Step 3: Cross multiply
   96,337.50x = 146,778 × 146,778
4. Step 4: Simplify right side
   96,337.50x = 21,543,781,284
5. Step 5: Solve for x
   x = 21,543,781,284/96,337.50
6. Step 6: Final answer
   x = 223,628.20