Finding the Third Proportional to 172,140 and 263,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,140 : 263,164.50 = 263,164.50 : x
2. Step 2: Convert to fraction form
   172,140/263,164.50 = 263,164.50/x
3. Step 3: Cross multiply
   172,140x = 263,164.50 × 263,164.50
4. Step 4: Simplify right side
   172,140x = 69,255,554,060.25
5. Step 5: Solve for x
   x = 69,255,554,060.25/172,140
6. Step 6: Final answer
   x = 402,321.10