Finding the Third Proportional to 78,529.50 and 163,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,529.50 : 163,687.50 = 163,687.50 : x
2. Step 2: Convert to fraction form
   78,529.50/163,687.50 = 163,687.50/x
3. Step 3: Cross multiply
   78,529.50x = 163,687.50 × 163,687.50
4. Step 4: Simplify right side
   78,529.50x = 26,793,597,656.25
5. Step 5: Solve for x
   x = 26,793,597,656.25/78,529.50
6. Step 6: Final answer
   x = 341,191.50