Finding the Third Proportional to 82,152 and 176,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 176,758.50 = 176,758.50 : x
2. Step 2: Convert to fraction form
   82,152/176,758.50 = 176,758.50/x
3. Step 3: Cross multiply
   82,152x = 176,758.50 × 176,758.50
4. Step 4: Simplify right side
   82,152x = 31,243,567,322.25
5. Step 5: Solve for x
   x = 31,243,567,322.25/82,152
6. Step 6: Final answer
   x = 380,314.14