Finding the Third Proportional to 69,534 and 151,886

Step by Step Solution

1. Step 1: Write the proportion equation
   69,534 : 151,886 = 151,886 : x
2. Step 2: Convert to fraction form
   69,534/151,886 = 151,886/x
3. Step 3: Cross multiply
   69,534x = 151,886 × 151,886
4. Step 4: Simplify right side
   69,534x = 23,069,356,996
5. Step 5: Solve for x
   x = 23,069,356,996/69,534
6. Step 6: Final answer
   x = 331,770.89