Finding the Third Proportional to 73,802 and 152,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,802 : 152,855.50 = 152,855.50 : x
2. Step 2: Convert to fraction form
   73,802/152,855.50 = 152,855.50/x
3. Step 3: Cross multiply
   73,802x = 152,855.50 × 152,855.50
4. Step 4: Simplify right side
   73,802x = 23,364,803,880.25
5. Step 5: Solve for x
   x = 23,364,803,880.25/73,802
6. Step 6: Final answer
   x = 316,587.68