Finding the Third Proportional to 42,564 and 92,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 92,498.25 = 92,498.25 : x
2. Step 2: Convert to fraction form
   42,564/92,498.25 = 92,498.25/x
3. Step 3: Cross multiply
   42,564x = 92,498.25 × 92,498.25
4. Step 4: Simplify right side
   42,564x = 8,555,926,253.06
5. Step 5: Solve for x
   x = 8,555,926,253.06/42,564
6. Step 6: Final answer
   x = 201,013.21