Finding the Third Proportional to 88,454 and 194,152

Step by Step Solution

1. Step 1: Write the proportion equation
   88,454 : 194,152 = 194,152 : x
2. Step 2: Convert to fraction form
   88,454/194,152 = 194,152/x
3. Step 3: Cross multiply
   88,454x = 194,152 × 194,152
4. Step 4: Simplify right side
   88,454x = 37,694,999,104
5. Step 5: Solve for x
   x = 37,694,999,104/88,454
6. Step 6: Final answer
   x = 426,153.70