Finding the Third Proportional to 64,358 and 141,814

Step by Step Solution

1. Step 1: Write the proportion equation
   64,358 : 141,814 = 141,814 : x
2. Step 2: Convert to fraction form
   64,358/141,814 = 141,814/x
3. Step 3: Cross multiply
   64,358x = 141,814 × 141,814
4. Step 4: Simplify right side
   64,358x = 20,111,210,596
5. Step 5: Solve for x
   x = 20,111,210,596/64,358
6. Step 6: Final answer
   x = 312,489.68