Finding the Third Proportional to 90,322.50 and 186,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,322.50 : 186,111.50 = 186,111.50 : x
2. Step 2: Convert to fraction form
   90,322.50/186,111.50 = 186,111.50/x
3. Step 3: Cross multiply
   90,322.50x = 186,111.50 × 186,111.50
4. Step 4: Simplify right side
   90,322.50x = 34,637,490,432.25
5. Step 5: Solve for x
   x = 34,637,490,432.25/90,322.50
6. Step 6: Final answer
   x = 383,486.84