Finding the Third Proportional to 117,000 and 171,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,000 : 171,112.50 = 171,112.50 : x
2. Step 2: Convert to fraction form
   117,000/171,112.50 = 171,112.50/x
3. Step 3: Cross multiply
   117,000x = 171,112.50 × 171,112.50
4. Step 4: Simplify right side
   117,000x = 29,279,487,656.25
5. Step 5: Solve for x
   x = 29,279,487,656.25/117,000
6. Step 6: Final answer
   x = 250,252.03