Finding the Third Proportional to 42,046 and 90,470

Step by Step Solution

1. Step 1: Write the proportion equation
   42,046 : 90,470 = 90,470 : x
2. Step 2: Convert to fraction form
   42,046/90,470 = 90,470/x
3. Step 3: Cross multiply
   42,046x = 90,470 × 90,470
4. Step 4: Simplify right side
   42,046x = 8,184,820,900
5. Step 5: Solve for x
   x = 8,184,820,900/42,046
6. Step 6: Final answer
   x = 194,663.49