Finding the Third Proportional to 88,263 and 194,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,263 : 194,341.50 = 194,341.50 : x
2. Step 2: Convert to fraction form
   88,263/194,341.50 = 194,341.50/x
3. Step 3: Cross multiply
   88,263x = 194,341.50 × 194,341.50
4. Step 4: Simplify right side
   88,263x = 37,768,618,622.25
5. Step 5: Solve for x
   x = 37,768,618,622.25/88,263
6. Step 6: Final answer
   x = 427,909.98