Finding the Third Proportional to 138,547.50 and 298,965

Step by Step Solution

1. Step 1: Write the proportion equation
   138,547.50 : 298,965 = 298,965 : x
2. Step 2: Convert to fraction form
   138,547.50/298,965 = 298,965/x
3. Step 3: Cross multiply
   138,547.50x = 298,965 × 298,965
4. Step 4: Simplify right side
   138,547.50x = 89,380,071,225
5. Step 5: Solve for x
   x = 89,380,071,225/138,547.50
6. Step 6: Final answer
   x = 645,122.22