Finding the Third Proportional to 230,977.50 and 343,092

Step by Step Solution

1. Step 1: Write the proportion equation
   230,977.50 : 343,092 = 343,092 : x
2. Step 2: Convert to fraction form
   230,977.50/343,092 = 343,092/x
3. Step 3: Cross multiply
   230,977.50x = 343,092 × 343,092
4. Step 4: Simplify right side
   230,977.50x = 117,712,120,464
5. Step 5: Solve for x
   x = 117,712,120,464/230,977.50
6. Step 6: Final answer
   x = 509,625.92