Finding the Third Proportional to 145,886 and 314,092

Step by Step Solution

1. Step 1: Write the proportion equation
   145,886 : 314,092 = 314,092 : x
2. Step 2: Convert to fraction form
   145,886/314,092 = 314,092/x
3. Step 3: Cross multiply
   145,886x = 314,092 × 314,092
4. Step 4: Simplify right side
   145,886x = 98,653,784,464
5. Step 5: Solve for x
   x = 98,653,784,464/145,886
6. Step 6: Final answer
   x = 676,238.87