Finding the Third Proportional to 42,370 and 90,854

Step by Step Solution

1. Step 1: Write the proportion equation
   42,370 : 90,854 = 90,854 : x
2. Step 2: Convert to fraction form
   42,370/90,854 = 90,854/x
3. Step 3: Cross multiply
   42,370x = 90,854 × 90,854
4. Step 4: Simplify right side
   42,370x = 8,254,449,316
5. Step 5: Solve for x
   x = 8,254,449,316/42,370
6. Step 6: Final answer
   x = 194,818.25