Finding the Third Proportional to 145,844.50 and 316,586

Step by Step Solution

1. Step 1: Write the proportion equation
   145,844.50 : 316,586 = 316,586 : x
2. Step 2: Convert to fraction form
   145,844.50/316,586 = 316,586/x
3. Step 3: Cross multiply
   145,844.50x = 316,586 × 316,586
4. Step 4: Simplify right side
   145,844.50x = 100,226,695,396
5. Step 5: Solve for x
   x = 100,226,695,396/145,844.50
6. Step 6: Final answer
   x = 687,216.15