Finding the Third Proportional to 88,506 and 194,508

Step by Step Solution

1. Step 1: Write the proportion equation
   88,506 : 194,508 = 194,508 : x
2. Step 2: Convert to fraction form
   88,506/194,508 = 194,508/x
3. Step 3: Cross multiply
   88,506x = 194,508 × 194,508
4. Step 4: Simplify right side
   88,506x = 37,833,362,064
5. Step 5: Solve for x
   x = 37,833,362,064/88,506
6. Step 6: Final answer
   x = 427,466.64