Finding the Third Proportional to 89,152 and 194,292

Step by Step Solution

1. Step 1: Write the proportion equation
   89,152 : 194,292 = 194,292 : x
2. Step 2: Convert to fraction form
   89,152/194,292 = 194,292/x
3. Step 3: Cross multiply
   89,152x = 194,292 × 194,292
4. Step 4: Simplify right side
   89,152x = 37,749,381,264
5. Step 5: Solve for x
   x = 37,749,381,264/89,152
6. Step 6: Final answer
   x = 423,427.19