Finding the Third Proportional to 88,894 and 192,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,894 : 192,543.50 = 192,543.50 : x
2. Step 2: Convert to fraction form
   88,894/192,543.50 = 192,543.50/x
3. Step 3: Cross multiply
   88,894x = 192,543.50 × 192,543.50
4. Step 4: Simplify right side
   88,894x = 37,072,999,392.25
5. Step 5: Solve for x
   x = 37,072,999,392.25/88,894
6. Step 6: Final answer
   x = 417,047.26