Finding the Third Proportional to 58,776 and 105,882

Step by Step Solution

1. Step 1: Write the proportion equation
   58,776 : 105,882 = 105,882 : x
2. Step 2: Convert to fraction form
   58,776/105,882 = 105,882/x
3. Step 3: Cross multiply
   58,776x = 105,882 × 105,882
4. Step 4: Simplify right side
   58,776x = 11,210,997,924
5. Step 5: Solve for x
   x = 11,210,997,924/58,776
6. Step 6: Final answer
   x = 190,741.08