Finding the Third Proportional to 145,580 and 314,146

Step by Step Solution

1. Step 1: Write the proportion equation
   145,580 : 314,146 = 314,146 : x
2. Step 2: Convert to fraction form
   145,580/314,146 = 314,146/x
3. Step 3: Cross multiply
   145,580x = 314,146 × 314,146
4. Step 4: Simplify right side
   145,580x = 98,687,709,316
5. Step 5: Solve for x
   x = 98,687,709,316/145,580
6. Step 6: Final answer
   x = 677,893.32