Finding the Third Proportional to 81,770 and 109,887

Step by Step Solution

1. Step 1: Write the proportion equation
   81,770 : 109,887 = 109,887 : x
2. Step 2: Convert to fraction form
   81,770/109,887 = 109,887/x
3. Step 3: Cross multiply
   81,770x = 109,887 × 109,887
4. Step 4: Simplify right side
   81,770x = 12,075,152,769
5. Step 5: Solve for x
   x = 12,075,152,769/81,770
6. Step 6: Final answer
   x = 147,672.16