Finding the Third Proportional to 88,578 and 191,070

Step by Step Solution

1. Step 1: Write the proportion equation
   88,578 : 191,070 = 191,070 : x
2. Step 2: Convert to fraction form
   88,578/191,070 = 191,070/x
3. Step 3: Cross multiply
   88,578x = 191,070 × 191,070
4. Step 4: Simplify right side
   88,578x = 36,507,744,900
5. Step 5: Solve for x
   x = 36,507,744,900/88,578
6. Step 6: Final answer
   x = 412,153.64