Finding the Third Proportional to 42,316 and 90,465

Step by Step Solution

1. Step 1: Write the proportion equation
   42,316 : 90,465 = 90,465 : x
2. Step 2: Convert to fraction form
   42,316/90,465 = 90,465/x
3. Step 3: Cross multiply
   42,316x = 90,465 × 90,465
4. Step 4: Simplify right side
   42,316x = 8,183,916,225
5. Step 5: Solve for x
   x = 8,183,916,225/42,316
6. Step 6: Final answer
   x = 193,400.04