Finding the Third Proportional to 145,872 and 316,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,872 : 316,666.50 = 316,666.50 : x
2. Step 2: Convert to fraction form
   145,872/316,666.50 = 316,666.50/x
3. Step 3: Cross multiply
   145,872x = 316,666.50 × 316,666.50
4. Step 4: Simplify right side
   145,872x = 100,277,672,222.25
5. Step 5: Solve for x
   x = 100,277,672,222.25/145,872
6. Step 6: Final answer
   x = 687,436.06