Finding the Third Proportional to 138,541.50 and 298,953

Step by Step Solution

1. Step 1: Write the proportion equation
   138,541.50 : 298,953 = 298,953 : x
2. Step 2: Convert to fraction form
   138,541.50/298,953 = 298,953/x
3. Step 3: Cross multiply
   138,541.50x = 298,953 × 298,953
4. Step 4: Simplify right side
   138,541.50x = 89,372,896,209
5. Step 5: Solve for x
   x = 89,372,896,209/138,541.50
6. Step 6: Final answer
   x = 645,098.37