Finding the Third Proportional to 90,117 and 185,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,117 : 185,701.50 = 185,701.50 : x
2. Step 2: Convert to fraction form
   90,117/185,701.50 = 185,701.50/x
3. Step 3: Cross multiply
   90,117x = 185,701.50 × 185,701.50
4. Step 4: Simplify right side
   90,117x = 34,485,047,102.25
5. Step 5: Solve for x
   x = 34,485,047,102.25/90,117
6. Step 6: Final answer
   x = 382,669.72