Finding the Third Proportional to 83,689,672 and 180,590,736

Step by Step Solution

1. Step 1: Write the proportion equation
   83,689,672 : 180,590,736 = 180,590,736 : x
2. Step 2: Convert to fraction form
   83,689,672/180,590,736 = 180,590,736/x
3. Step 3: Cross multiply
   83,689,672x = 180,590,736 × 180,590,736
4. Step 4: Simplify right side
   83,689,672x = 32,613,013,929,021,696
5. Step 5: Solve for x
   x = 32,613,013,929,021,696/83,689,672
6. Step 6: Final answer
   x = 389,689,828.50