Finding the Third Proportional to 88,532 and 191,830

Step by Step Solution

1. Step 1: Write the proportion equation
   88,532 : 191,830 = 191,830 : x
2. Step 2: Convert to fraction form
   88,532/191,830 = 191,830/x
3. Step 3: Cross multiply
   88,532x = 191,830 × 191,830
4. Step 4: Simplify right side
   88,532x = 36,798,748,900
5. Step 5: Solve for x
   x = 36,798,748,900/88,532
6. Step 6: Final answer
   x = 415,654.78