Finding the Third Proportional to 69,526 and 151,798

Step by Step Solution

1. Step 1: Write the proportion equation
   69,526 : 151,798 = 151,798 : x
2. Step 2: Convert to fraction form
   69,526/151,798 = 151,798/x
3. Step 3: Cross multiply
   69,526x = 151,798 × 151,798
4. Step 4: Simplify right side
   69,526x = 23,042,632,804
5. Step 5: Solve for x
   x = 23,042,632,804/69,526
6. Step 6: Final answer
   x = 331,424.69