Finding the Third Proportional to 78,860 and 172,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,860 : 172,987.50 = 172,987.50 : x
2. Step 2: Convert to fraction form
   78,860/172,987.50 = 172,987.50/x
3. Step 3: Cross multiply
   78,860x = 172,987.50 × 172,987.50
4. Step 4: Simplify right side
   78,860x = 29,924,675,156.25
5. Step 5: Solve for x
   x = 29,924,675,156.25/78,860
6. Step 6: Final answer
   x = 379,465.83