Finding the Third Proportional to 122,313 and 194,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,313 : 194,587.50 = 194,587.50 : x
2. Step 2: Convert to fraction form
   122,313/194,587.50 = 194,587.50/x
3. Step 3: Cross multiply
   122,313x = 194,587.50 × 194,587.50
4. Step 4: Simplify right side
   122,313x = 37,864,295,156.25
5. Step 5: Solve for x
   x = 37,864,295,156.25/122,313
6. Step 6: Final answer
   x = 309,568.85