Finding the Third Proportional to 64,152 and 100,776

Step by Step Solution

1. Step 1: Write the proportion equation
   64,152 : 100,776 = 100,776 : x
2. Step 2: Convert to fraction form
   64,152/100,776 = 100,776/x
3. Step 3: Cross multiply
   64,152x = 100,776 × 100,776
4. Step 4: Simplify right side
   64,152x = 10,155,802,176
5. Step 5: Solve for x
   x = 10,155,802,176/64,152
6. Step 6: Final answer
   x = 158,308.43