Finding the Third Proportional to 88,747.50 and 194,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   88,747.50 : 194,706.75 = 194,706.75 : x
2. Step 2: Convert to fraction form
   88,747.50/194,706.75 = 194,706.75/x
3. Step 3: Cross multiply
   88,747.50x = 194,706.75 × 194,706.75
4. Step 4: Simplify right side
   88,747.50x = 37,910,718,495.56
5. Step 5: Solve for x
   x = 37,910,718,495.56/88,747.50
6. Step 6: Final answer
   x = 427,175.06