Finding the Third Proportional to 69,533 and 161,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,533 : 161,758.50 = 161,758.50 : x
2. Step 2: Convert to fraction form
   69,533/161,758.50 = 161,758.50/x
3. Step 3: Cross multiply
   69,533x = 161,758.50 × 161,758.50
4. Step 4: Simplify right side
   69,533x = 26,165,812,322.25
5. Step 5: Solve for x
   x = 26,165,812,322.25/69,533
6. Step 6: Final answer
   x = 376,307.83