Finding the Third Proportional to 88,516.50 and 194,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,516.50 : 194,527.50 = 194,527.50 : x
2. Step 2: Convert to fraction form
   88,516.50/194,527.50 = 194,527.50/x
3. Step 3: Cross multiply
   88,516.50x = 194,527.50 × 194,527.50
4. Step 4: Simplify right side
   88,516.50x = 37,840,948,256.25
5. Step 5: Solve for x
   x = 37,840,948,256.25/88,516.50
6. Step 6: Final answer
   x = 427,501.63