Finding the Third Proportional to 89,457 and 192,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,457 : 192,927.50 = 192,927.50 : x
2. Step 2: Convert to fraction form
   89,457/192,927.50 = 192,927.50/x
3. Step 3: Cross multiply
   89,457x = 192,927.50 × 192,927.50
4. Step 4: Simplify right side
   89,457x = 37,221,020,256.25
5. Step 5: Solve for x
   x = 37,221,020,256.25/89,457
6. Step 6: Final answer
   x = 416,077.22