Finding the Third Proportional to 69,506 and 150,032

Step by Step Solution

1. Step 1: Write the proportion equation
   69,506 : 150,032 = 150,032 : x
2. Step 2: Convert to fraction form
   69,506/150,032 = 150,032/x
3. Step 3: Cross multiply
   69,506x = 150,032 × 150,032
4. Step 4: Simplify right side
   69,506x = 22,509,601,024
5. Step 5: Solve for x
   x = 22,509,601,024/69,506
6. Step 6: Final answer
   x = 323,851.19