Finding the Third Proportional to 96,547.50 and 209,178

Step by Step Solution

1. Step 1: Write the proportion equation
   96,547.50 : 209,178 = 209,178 : x
2. Step 2: Convert to fraction form
   96,547.50/209,178 = 209,178/x
3. Step 3: Cross multiply
   96,547.50x = 209,178 × 209,178
4. Step 4: Simplify right side
   96,547.50x = 43,755,435,684
5. Step 5: Solve for x
   x = 43,755,435,684/96,547.50
6. Step 6: Final answer
   x = 453,201.13