Finding the Third Proportional to 42,114 and 92,154

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114 : 92,154 = 92,154 : x
2. Step 2: Convert to fraction form
   42,114/92,154 = 92,154/x
3. Step 3: Cross multiply
   42,114x = 92,154 × 92,154
4. Step 4: Simplify right side
   42,114x = 8,492,359,716
5. Step 5: Solve for x
   x = 8,492,359,716/42,114
6. Step 6: Final answer
   x = 201,651.70