Finding the Third Proportional to 115,185 and 174,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,185 : 174,387.50 = 174,387.50 : x
2. Step 2: Convert to fraction form
   115,185/174,387.50 = 174,387.50/x
3. Step 3: Cross multiply
   115,185x = 174,387.50 × 174,387.50
4. Step 4: Simplify right side
   115,185x = 30,411,000,156.25
5. Step 5: Solve for x
   x = 30,411,000,156.25/115,185
6. Step 6: Final answer
   x = 264,018.75