Finding the Third Proportional to 96,784.50 and 146,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,784.50 : 146,632.50 = 146,632.50 : x
2. Step 2: Convert to fraction form
   96,784.50/146,632.50 = 146,632.50/x
3. Step 3: Cross multiply
   96,784.50x = 146,632.50 × 146,632.50
4. Step 4: Simplify right side
   96,784.50x = 21,501,090,056.25
5. Step 5: Solve for x
   x = 21,501,090,056.25/96,784.50
6. Step 6: Final answer
   x = 222,154.27