Finding the Third Proportional to 82,027,223 and 119,926,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,027,223 : 119,926,665.50 = 119,926,665.50 : x
2. Step 2: Convert to fraction form
   82,027,223/119,926,665.50 = 119,926,665.50/x
3. Step 3: Cross multiply
   82,027,223x = 119,926,665.50 × 119,926,665.50
4. Step 4: Simplify right side
   82,027,223x = 14,382,405,097,948,890
5. Step 5: Solve for x
   x = 14,382,405,097,948,890/82,027,223
6. Step 6: Final answer
   x = 175,336,974.38