Finding the Third Proportional to 88,677 and 194,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,677 : 194,599.50 = 194,599.50 : x
2. Step 2: Convert to fraction form
   88,677/194,599.50 = 194,599.50/x
3. Step 3: Cross multiply
   88,677x = 194,599.50 × 194,599.50
4. Step 4: Simplify right side
   88,677x = 37,868,965,400.25
5. Step 5: Solve for x
   x = 37,868,965,400.25/88,677
6. Step 6: Final answer
   x = 427,043.83