Finding the Third Proportional to 125,322 and 194,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,322 : 194,176.50 = 194,176.50 : x
2. Step 2: Convert to fraction form
   125,322/194,176.50 = 194,176.50/x
3. Step 3: Cross multiply
   125,322x = 194,176.50 × 194,176.50
4. Step 4: Simplify right side
   125,322x = 37,704,513,152.25
5. Step 5: Solve for x
   x = 37,704,513,152.25/125,322
6. Step 6: Final answer
   x = 300,861.09