Finding the Third Proportional to 114,696 and 237,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,696 : 237,457.50 = 237,457.50 : x
2. Step 2: Convert to fraction form
   114,696/237,457.50 = 237,457.50/x
3. Step 3: Cross multiply
   114,696x = 237,457.50 × 237,457.50
4. Step 4: Simplify right side
   114,696x = 56,386,064,306.25
5. Step 5: Solve for x
   x = 56,386,064,306.25/114,696
6. Step 6: Final answer
   x = 491,613.17