Finding the Third Proportional to 78,358.50 and 141,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,358.50 : 141,164.50 = 141,164.50 : x
2. Step 2: Convert to fraction form
   78,358.50/141,164.50 = 141,164.50/x
3. Step 3: Cross multiply
   78,358.50x = 141,164.50 × 141,164.50
4. Step 4: Simplify right side
   78,358.50x = 19,927,416,060.25
5. Step 5: Solve for x
   x = 19,927,416,060.25/78,358.50
6. Step 6: Final answer
   x = 254,310.84