Finding the Third Proportional to 58,784 and 105,898

Step by Step Solution

1. Step 1: Write the proportion equation
   58,784 : 105,898 = 105,898 : x
2. Step 2: Convert to fraction form
   58,784/105,898 = 105,898/x
3. Step 3: Cross multiply
   58,784x = 105,898 × 105,898
4. Step 4: Simplify right side
   58,784x = 11,214,386,404
5. Step 5: Solve for x
   x = 11,214,386,404/58,784
6. Step 6: Final answer
   x = 190,772.77