Finding the Third Proportional to 42,627 and 92,748

Step by Step Solution

1. Step 1: Write the proportion equation
   42,627 : 92,748 = 92,748 : x
2. Step 2: Convert to fraction form
   42,627/92,748 = 92,748/x
3. Step 3: Cross multiply
   42,627x = 92,748 × 92,748
4. Step 4: Simplify right side
   42,627x = 8,602,191,504
5. Step 5: Solve for x
   x = 8,602,191,504/42,627
6. Step 6: Final answer
   x = 201,801.48